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Mathematics

The point A(5, 4) is reflected in line 2(x + 1) = 12 to point A'. The co-ordinates of point A' are :

  1. (5, 4)

  2. (-5, 4)

  3. (-5, -4)

  4. (5, -4)

Reflection

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Answer

Given,

Equation of line : 2(x + 1) = 12

⇒ x + 1 = 6

⇒ x = 5.

From figure,

The point A(5, 4) is reflected in line 2(x + 1) = 12 to point A'. The co-ordinates of point A' are.1. (5, 4) 2. (-5, 4) 3. (-5, -4) 4. (5, -4). Model Paper 2, Concise Mathematics Solutions ICSE Class 10.

Point A(5, 4) lies on the line x = 5, so it will be invariant.

So, A' = A = (5, 4).

Hence, Option 1 is the correct option.

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